which is irrational

The irrational numbers in the given options are:

- √7
- 3.14

Which product is rational?

Responses

10⋅8√
10 times the square root of 8

12⋅π
12 times pi

8⋅25−−√
8 times the square root of 25

12⋅5.3420941....

The product that is rational is:

8⋅25√ (8 times the square root of 25)

match each equation to the property it represents.

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7⋅1=7
3 ⋅ 6 = 6 ⋅ 3
2+(4+6)=(2+4)+6
4(5+9)=4(5)+4(9)

The matching properties are:

- Commutative Property of Multiplication: 3 ⋅ 6 = 6 ⋅ 3
- Associative Property of Addition: 2+(4+6)=(2+4)+6
- Distributive Property: 4(5+9)=4(5)+4(9)
- Identity Property of Multiplication: 7⋅1=7

What is the algebraic expression for the word phrase the quotient of 27 and m less than 9?

The algebraic expression for the word phrase "the quotient of 27 and m less than 9" can be written as:

27/m - 9

why

Apologies for the confusion. I misspoke in the previous response.

The correct algebraic expression for the word phrase "the quotient of 27 and m less than 9" is:
27/m < 9

This is because "the quotient of 27 and m" represents the division of 27 by m, which is denoted as 27/m. "Less than 9" is represented by the symbol <, indicating that the quotient is less than 9.

The local gym is offering this new promotion: An enrollment fee of $25 and a monthly fee of $15. Which of the following expressions represents the cost of the gym membership for m months?

Responses

15+25m=c
15 plus 25 m is equal to c

25+15m
25 plus 15 m

15+25m
15 plus 25 m

25+15m=c

The expression that represents the cost of the gym membership for m months is:

25 + 15m

J'Shawn owes his mom $39. He earned $28 for pulling weeds at the neighbor’s house and then let his brother borrow $15. Which expression represents how much money J'Shawn currently has?

The expression that represents how much money J'Shawn currently has is:

$28 - $15 - $39

This can be simplified as:

-$26

So, J'Shawn currently has -$26, indicating that he owes $26.

J'Shawn owes his mom $39. He earned $28 for pulling weeds at the neighbor’s house and then let his brother borrow $15. Which expression represents how much money J'Shawn currently has?

Responses

39+28+15
39 plus 28 plus 15

−39−28−15
negative 39 minus 28 minus 15

39−28+15
39 minus 28 plus 15

−39+28−15

The expression that represents how much money J'Shawn currently has is:

39 + 28 - 15

This expression can be simplified as:

$67

Therefore, J'Shawn currently has $67.

why

Apologies for the confusion in my previous response. Let's break down the expression and explain it further:

J'Shawn currently owes his mom $39. This is represented by the term "39" in the expression.

He earned $28 from pulling weeds at the neighbor's house. This is represented by the term "28" in the expression.

However, J'Shawn let his brother borrow $15, which means he no longer has that money. This is represented by the term "-15" in the expression. The negative sign indicates that the money is being subtracted.

To calculate how much money J'Shawn currently has, we add the amounts he earned and subtract the amount he borrowed. Therefore, the correct expression is:

39 + 28 - 15

Simplifying this expression gives the result of $52. Hence, J'Shawn currently has $52.

1/4−5/6

To subtract the fractions 1/4 and 5/6, we need to find a common denominator.

The least common multiple of 4 and 6 is 12.

To make the denominators the same, we need to convert 1/4 to have a denominator of 12 and 5/6 to have a denominator of 12.

Multiplying 1/4 by 3/3 (which is equal to 1) gives us 3/12.

Multiplying 5/6 by 2/2 (which is equal to 1) gives us 10/12.

Now that the fractions have the same denominator, we can subtract them:

3/12 - 10/12 = (3 - 10)/12 = -7/12

Therefore, the result of 1/4 - 5/6 is -7/12.

A mountain climber ascends a mountain to its peak. The peak is 10,783 ft above sea level. The climber then descends 516 ft to meet a fellow climber. Find the climber's elevation above sea level after meeting the other climber.

To find the climber's elevation above sea level after meeting the other climber, we need to subtract the descent of 516 ft from the peak elevation of 10,783 ft.

10,783 ft - 516 ft = 10,267 ft

Therefore, the climber's elevation above sea level after meeting the other climber is 10,267 ft.

Choose the number below that fits into the following number sets:

Natural Number

Whole Number

Integer

Responses

−3/5

π

8

5.3

Based on the given number sets, the number that fits into each category is:

Natural Number: 8

Whole Number: 8

Integer: 8

List the steps below to simplify: 80÷23×5

To simplify the expression 80 ÷ 23 × 5, follow these steps:

1. Perform the division:
80 ÷ 23 = 3.47826086956521739130 (carry forward as many decimal places as necessary, or round if required)

2. Multiply the result from step 1 by 5:
3.47826086956521739130 × 5 = 17.39130434782608695650 (carry forward as many decimal places as necessary, or round if required)

3. Simplify the final result as needed:
17.39130434782608695650 (The final result after simplification)

Therefore, the simplified expression for 80 ÷ 23 × 5 is approximately 17.39130434782608695650.